Highest Common Factor of 916, 576, 255, 650 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 916, 576, 255, 650 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 916, 576, 255, 650 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 916, 576, 255, 650 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 916, 576, 255, 650 is 1.

HCF(916, 576, 255, 650) = 1

HCF of 916, 576, 255, 650 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 916, 576, 255, 650 is 1.

Highest Common Factor of 916,576,255,650 using Euclid's algorithm

Highest Common Factor of 916,576,255,650 is 1

Step 1: Since 916 > 576, we apply the division lemma to 916 and 576, to get

916 = 576 x 1 + 340

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 340 and 576, to get

576 = 340 x 1 + 236

Step 3: We consider the new divisor 340 and the new remainder 236, and apply the division lemma to get

340 = 236 x 1 + 104

We consider the new divisor 236 and the new remainder 104,and apply the division lemma to get

236 = 104 x 2 + 28

We consider the new divisor 104 and the new remainder 28,and apply the division lemma to get

104 = 28 x 3 + 20

We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get

28 = 20 x 1 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 916 and 576 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(104,28) = HCF(236,104) = HCF(340,236) = HCF(576,340) = HCF(916,576) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 255 > 4, we apply the division lemma to 255 and 4, to get

255 = 4 x 63 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 255 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(255,4) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 650 > 1, we apply the division lemma to 650 and 1, to get

650 = 1 x 650 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 650 is 1

Notice that 1 = HCF(650,1) .

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Frequently Asked Questions on HCF of 916, 576, 255, 650 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 916, 576, 255, 650?

Answer: HCF of 916, 576, 255, 650 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 916, 576, 255, 650 using Euclid's Algorithm?

Answer: For arbitrary numbers 916, 576, 255, 650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.